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5128641063 = 3371319611801
BaseRepresentation
bin1001100011011000…
…01101101000100111
3111020102102221221000
410301230031220213
541000413003223
62204524324343
7241043505210
oct46154155047
914212387830
105128641063
1121a1a90a37
12bb16a36b3
136396bc970
143691ca407
152003b7543
hex131b0da27

5128641063 has 128 divisors (see below), whose sum is σ = 10010470400. Its totient is φ = 2519424000.

The previous prime is 5128641059. The next prime is 5128641137. The reversal of 5128641063 is 3601468215.

It is a happy number.

5128641063 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 641 + 0 + 6 + 3 = 666.

5128641063 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5128641063 - 22 = 5128641059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128641163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2846763 + ... + 2848563.

It is an arithmetic number, because the mean of its divisors is an integer number (78206800).

Almost surely, 25128641063 is an apocalyptic number.

5128641063 is a deficient number, since it is larger than the sum of its proper divisors (4881829337).

5128641063 is a wasteful number, since it uses less digits than its factorization.

5128641063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5128641063 is about 71614.5310883203. The cubic root of 5128641063 is about 1724.5168219508.

The spelling of 5128641063 in words is "five billion, one hundred twenty-eight million, six hundred forty-one thousand, sixty-three".

Divisors: 1 3 7 9 13 19 21 27 39 57 61 63 91 117 133 171 183 189 247 273 351 399 427 513 549 741 793 819 1159 1197 1281 1647 1729 1801 2223 2379 2457 3477 3591 3843 5187 5403 5551 6669 7137 8113 10431 11529 12607 15067 15561 16209 16653 21411 23413 24339 31293 34219 37821 45201 46683 48627 49959 70239 73017 102657 105469 109861 113463 135603 149877 163891 210717 219051 239533 307971 316407 329583 340389 406809 444847 491673 632151 718599 769027 923913 949221 988749 1334541 1428193 1475019 2087359 2155797 2307081 2847663 2966247 3113929 4003623 4284579 4425057 6262077 6467391 6921243 9341787 9997351 12010869 12853737 14611513 18786231 20763729 27135667 28025361 29992053 38561211 43834539 56358693 81407001 84076083 89976159 131503617 189949669 244221003 269928477 394510851 569849007 732663009 1709547021 5128641063